Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
14760g |
Isogeny class |
Conductor |
14760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
119556000000 = 28 · 36 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2343,-40358] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:32:1] |
Generators of the group modulo torsion |
j |
7622072656/640625 |
j-invariant |
L |
3.882505683536 |
L(r)(E,1)/r! |
Ω |
0.68987978812751 |
Real period |
R |
2.8139001535862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29520l2 118080cu2 1640f2 73800cj2 |
Quadratic twists by: -4 8 -3 5 |